However, this mechanism can only be part of the story. First, the cloning performance is not monotonically decreasing with increasing overlap, since for \(c_{ab}=1\)  one can clone perfectly. Second, cloning is defined as the creation of two independent copies of the preparations \(P_a\)  or \(P_b\) , but these do not necessarily correspond to two independent copies \(\mu _a \mu _a\) , \(\mu _b \mu _b\)  (this assumption, which we do not make, is called preparation independence [1]}). Nevertheless, we showed that a no-go theorem results from the observed overlaps \(c_{ab}\) , \(c_{aa,bb}\)  and noncontextuality assumptions only as a consequence of information processing inequalities and the triangle inequality.
